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Finding the Fourth Proportional to 403,896.70, 605,796.45 and 167,214.70

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Solution

The fourth proportional to 403,896.70, 605,796.45 and 167,214.70 is: 250,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,896.70 : 605,796.45 = 167,214.70 : x
  2. Step 2: Convert to fraction form
    403,896.70/605,796.45 = 167,214.70/x
  3. Step 3: Cross multiply
    403,896.70x = 605,796.45 × 167,214.70
  4. Step 4: Simplify right side
    403,896.70x = 101,298,071,647.82
  5. Step 5: Solve for x
    x = 101,298,071,647.82/403,896.70
  6. Step 6: Final answer
    x = 250,801.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.